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3 years ago

Which property is illustrated by equation ax + ay = a(x'+ y) ?

1 answer:

6 0

Not sure what x' means but
seems to be the reverse distributive property
normally written as
a(b+c)=ab+ac
we can see the similarity
a(x'+y)=ax+ay

distributive property

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Simplest form 4 1/4 + 3 2/6

Ierofanga [76]

If you find a common denominator for the two, which is 12 it will make it easier to add. So 4 3/12 + 3 4/12 = 7 7/12.
your answer is 7 7/12.

4 0

3 years ago

Help please! Do not answer if you are not going to help me

kirza4 [7]

9514 1404 393

Answer:

12. (x, D, E, F) = (8, 38°, 75°, 67°)

13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

25x = 200 . . . . . . . add 20, simplify

x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

∠D = 5(8) -2 = 38°

∠E = 9(8) +3 = 75°

∠F = 11(8) -21 = 67°

13. (10x -4) +(4x -22) +(x +11) = 180

15x = 195 . . . . . . . . . . add 15, simplify

x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

∠P = 10(13) -4 = 126°

∠Q = 4(13) -22 = 30°

∠R = 13 +11 = 24°

4 0

3 years ago

A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -167 + 64, where t is the

Oliga [24]

Answer:

Step-by-step explanation:

Known facts:

the ball dropped from a height of 64 feet
function $h(t) = -16t^{2} + 64$

First question:

the ball hits the ground when h(t) = 0, thus we get the equation

$-16t^{2} +64 = 0\\16t^{2} = 64\\t^{2} =4\\t = 2$

So the ball hits the ground in 2s

Second question

to find how long it takes the ball to fall 36 feet, we must set h(t) = 64 - 36 = 28

$-16t^{2} +64 = 28\\16t^{2} = 36\\t = \frac{6}{4} =1.5s$

So the ball hits the ground in 1.5s

Hope that helps!

3 0

2 years ago

Select the correct answer. What are the intercepts of y = 4x − 2?

ValentinkaMS [17]

x-intercept(s): (1/2, 0) or (0.5, 0)

y-intercept(s): (0, −2)

8 0

3 years ago

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vampirchik [111]

Answer:

50/50

Step-by-step explanation:

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2 years ago

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